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Finding the Fourth Proportional to 1,102.93, 1,522.01 and 598.76

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Solution

The fourth proportional to 1,102.93, 1,522.01 and 598.76 is: 826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.93 : 1,522.01 = 598.76 : x
  2. Step 2: Convert to fraction form
    1,102.93/1,522.01 = 598.76/x
  3. Step 3: Cross multiply
    1,102.93x = 1,522.01 × 598.76
  4. Step 4: Simplify right side
    1,102.93x = 911,318.30
  5. Step 5: Solve for x
    x = 911,318.30/1,102.93
  6. Step 6: Final answer
    x = 826.27

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.